Communications on Pure and Applied MathematicsVolume 23, Issue 3 p. 459-509 Article On local solvability of linear partial differential equations—part II. Sufficient conditions† Louis Nirenberg, Louis Nirenberg Courant InstituteSearch for more papers by this authorFrancois Treves, Francois Treves Purdue UniversitySearch for more papers by this author Louis Nirenberg, Louis Nirenberg Courant InstituteSearch for more papers by this authorFrancois Treves, Francois Treves Purdue UniversitySearch for more papers by this author First published: May 1970 https://doi.org/10.1002/cpa.3160230314Citations: 62 † Some of the results of Parts I and II of this paper have been announced in [18] and [19]. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Citing Literature Volume23, Issue3May 1970Pages 459-509 RelatedInformation

Communications on Pure and Applied MathematicsVolume 23, Issue 1 p. 1-38 Article On local solvability of linear partial differential equations part I: Necessary conditions Louis Nirenberg, Louis Nirenberg Courant InstituteSearch for more papers by this authorFrancois Treves, Francois Treves Purdue UniversitySearch for more papers by this author Louis Nirenberg, Louis Nirenberg Courant InstituteSearch for more papers by this authorFrancois Treves, Francois Treves Purdue UniversitySearch for more papers by this author First published: January 1970 https://doi.org/10.1002/cpa.3160230102Citations: 101AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Bibliography 1 Caratheodory, L., Calculus of Variations and Partial Differential Equations of the First Order, Part 1, Partial Differential Equations of the First Order, Holden-Day, San Francisco, 1965. Google Scholar 2 Hörmander, L., Linear Partial Differential Operators, Springer, Berlin, 1963. 10.1007/978-3-642-46175-0 Web of Science®Google Scholar 3 Hörmander, L., Pseudo-differential operators and nonelliptic boundary problems, Annals of Math., Vol. 83, 1966, pp. 129–209. 10.2307/1970473 Google Scholar 4 Hörmander, L., Pseudo-differential operators and hypoelliptic equations, Proc. Symp. Pure Math., Vol. 10, Singular Integrals, Amer. Math. Soc., Providence, R. I., 1967, pp. 138–183. Google Scholar 5 Nirenberg, L., and Treves, F., Solvability of a first order linear partial differential equation, Comm. Pure Appl. Math., Vol. 16, 1963, pp. 331–351. 10.1002/cpa.3160160308 Web of Science®Google Scholar 6 Treves, F., On the local solvability of linear partial differential equations in two independent variables, to appear in Amer. Jrl. Math. Google Scholar 7 Treves, F., Local solvability in L2 of first order linear partial differential equations, to appear in Amer. Jrl. Math. Google Scholar 8 Egorov, Yu. V., On nondegenerate hypoelliptic pseudodifferential operators, Soviet Math. Dokl., No. 10, 1969, pp. 697–699. Google Scholar Citing Literature Volume23, Issue1January 1970Pages 1-38 ReferencesRelatedInformation